Question

choose all answers that describe the quadrilateral below.
answer attempt 1 out of 2
parallelogram
rectangle
rhombus
square
trapezoid
submit answer

Explanation:

Step1: Recall properties of quadrilaterals

A parallelogram has opposite angles equal. In the given quadrilateral, \(84^{\circ}\) and \(96^{\circ}\) are adjacent angles. Since \(84 + 96=180\), consecutive angles are supplementary (a property of parallelograms). Also, opposite angles are equal (\(84^{\circ}=84^{\circ}\) and \(96^{\circ}=96^{\circ}\)).
A trapezoid has only one pair of parallel sides. But we can't confirm only one - pair - of - parallel - sides from angle information alone, but the angle properties fit parallelogram first.
A rhombus has all sides equal and opposite angles equal. But we have no side - length information to confirm it's a rhombus.
A rectangle has all angles equal to \(90^{\circ}\). Here angles are \(84^{\circ}\) and \(96^{\circ}\), so not a rectangle.
A square has all angles \(90^{\circ}\) and all sides equal. So not a square.

Answer:

Parallelogram